Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
High Energy Physics - Theory
2014-11-18 v2
Abstract
In this paper we study the noncommutative extension of a modified U(n) sigma model in 2+1 dimensions. Using the method of dressing transformations, an iterative approach for the construction of solutions from a given seed solution, we demonstrate the construction of multi-soliton and soliton-antisoliton configurations for general n. As illustrative examples we discuss U(3) solitons and consider the head-on collision of a U(2) soliton and an antisoliton explicitly, which will result in a 90^{\text{o}} angle scattering. Further we discuss the head-on collision of one U(2) soliton with two antisolitons. This results in a 60^{\text{o}} angle scattering.
Keywords
Cite
@article{arxiv.hep-th/0204185,
title = {Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions},
author = {Martin Wolf},
journal= {arXiv preprint arXiv:hep-th/0204185},
year = {2014}
}
Comments
v.2: two references added, minor corrections